33. From the top of a building 20 m high, the angle of elevation of the top of a monument
is 45° and the angle of depression of its foot is 15º. Find the height of the monument.
plzzzz guys help me fast dont spam
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33. From the top of a building 20 m high, the angle of elevation of the top of a monument
is 45° and the angle of depression of its foot is 15º. Find the height of the monument.
plzzzz guys help me fast dont spam
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Answer:
Step-by-step explanation:
let AB be the building (with A at top) and CD be the monument (with C at top)
let AE║BD, AE = BD and AB = ED
In ΔAEC,
tan 45° = CE/ AE
⇒ CE = AE (tan 45° = 1) ................................ 1
alternate interior angles are equal
⇒ EAD = BDA = 45°
In ΔABD
tan 45° = AB/ BD
⇒ AB = BD (tan 45° = 1) ................................ 2
Since AE = BD
AB = CE (from 1 and 2)
thus the height of monument = CE + ED = CD = 20 + 20
= 40 m
Answer:
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